Sums of squares in octonion algebras

Pumplün, S.

doi:10.1090/S0002-9939-05-07917-7

Sums of squares in octonion algebras
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Proc. Amer. Math. Soc. 133 (2005), 3143-3152 Request permission

Abstract:

Sums of squares in composition algebras are investigated using methods from the theory of quadratic forms. For any integer $m\geq 1$ octonion algebras of level $2^m$ and of level $2^m+1$ are constructed.

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